Boundary Value Problems in Linear Viscoelasticity PDF Download
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Author: John M. Golden
Publisher: Springer Science & Business Media
ISBN: 3662061562
Category : Science
Languages : en
Pages : 276
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Book Description
The classical theories of Linear Elasticity and Newtonian Fluids, though trium phantly elegant as mathematical structures, do not adequately describe the defor mation and flow of most real materials. Attempts to characterize the behaviour of real materials under the action of external forces gave rise to the science of Rheology. Early rheological studies isolated the phenomena now labelled as viscoelastic. Weber (1835, 1841), researching the behaviour of silk threats under load, noted an instantaneous extension, followed by a further extension over a long period of time. On removal of the load, the original length was eventually recovered. He also deduced that the phenomena of stress relaxation and damping of vibrations should occur. Later investigators showed that similar effects may be observed in other materials. The German school referred to these as "Elastische Nachwirkung" or "the elastic aftereffect" while the British school, including Lord Kelvin, spoke ofthe "viscosityofsolids". The universal adoption of the term "Viscoelasticity", intended to convey behaviour combining proper ties both of a viscous liquid and an elastic solid, is of recent origin, not being used for example by Love (1934), though Alfrey (1948) uses it in the context of polymers. The earliest attempts at mathematically modelling viscoelastic behaviour were those of Maxwell (1867) (actually in the context of his work on gases; he used this model for calculating the viscosity of a gas) and Meyer (1874).
Author: John M. Golden
Publisher: Springer Science & Business Media
ISBN: 3662061562
Category : Science
Languages : en
Pages : 276
Get Book Here
Book Description
The classical theories of Linear Elasticity and Newtonian Fluids, though trium phantly elegant as mathematical structures, do not adequately describe the defor mation and flow of most real materials. Attempts to characterize the behaviour of real materials under the action of external forces gave rise to the science of Rheology. Early rheological studies isolated the phenomena now labelled as viscoelastic. Weber (1835, 1841), researching the behaviour of silk threats under load, noted an instantaneous extension, followed by a further extension over a long period of time. On removal of the load, the original length was eventually recovered. He also deduced that the phenomena of stress relaxation and damping of vibrations should occur. Later investigators showed that similar effects may be observed in other materials. The German school referred to these as "Elastische Nachwirkung" or "the elastic aftereffect" while the British school, including Lord Kelvin, spoke ofthe "viscosityofsolids". The universal adoption of the term "Viscoelasticity", intended to convey behaviour combining proper ties both of a viscous liquid and an elastic solid, is of recent origin, not being used for example by Love (1934), though Alfrey (1948) uses it in the context of polymers. The earliest attempts at mathematically modelling viscoelastic behaviour were those of Maxwell (1867) (actually in the context of his work on gases; he used this model for calculating the viscosity of a gas) and Meyer (1874).
Author: John M. Golden
Publisher: Berlin : Springer-Verlag
ISBN: 9780387186153
Category : Science
Languages : en
Pages : 0
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Book Description
Author: Mauro Fabrizio
Publisher: SIAM
ISBN: 9781611970807
Category : Science
Languages : en
Pages : 212
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Book Description
Describes general mathematical modeling of viscoelastic materials as systems with fading memory. Discusses the interrelation between topics such as existence, uniqueness, and stability of initial boundary value problems, variational and extremum principles, and wave propagation. Demonstrates the deep connection between the properties of the solution to initial boundary value problems and the requirements of the general physical principles. Discusses special techniques and new methods, including Fourier and Laplace transforms, extremum principles via weight functions, and singular surfaces and discontinuity waves.
Author: Jürgen Mark
Publisher:
ISBN:
Category :
Languages : en
Pages : 33
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Book Description
Author: Gary Charles Wesley Sabin
Publisher: 1975.
ISBN:
Category :
Languages : en
Pages : 264
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Book Description
Author: Gary Charles Wesley Sabin
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 122
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Book Description
Author: Jürgen Mark
Publisher:
ISBN: 9783826581823
Category :
Languages : en
Pages : 102
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Book Description
Author: Gary Charles Wesley Sabin
Publisher: National Library of Canada
ISBN:
Category : Boundary value problems
Languages : en
Pages : 122
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Book Description
Author: G. A. C. Graham
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 18
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Book Description
Author: Michael Renardy
Publisher: Longman Scientific and Technical
ISBN:
Category : Science
Languages : en
Pages : 294
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Book Description